zeros of the polynomial function

Question

Consider the following.

h(t) =t^2-10t+25

find all the real zeros of the polynomial function.

Answer 1

You need just to solve the equation:

t^2-10t+25=0

(t-5)^2=0

t=5

Answer 2

t^2 -10t +25

factor

= (t-5)^2

real zeros are 5 and 5

graph the parabola and it is tangent to the x axis at x= 5, the point (5,0)

or you can say there's just one real zero, 5, with multiplicity 2